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The one dimensional one component plasma has applications to one dimensional particle systems with logarithmic interactions such as charges in a single channel wire or vortex filaments in a fluid convection stream. The exact integral of…

Mathematical Physics · Physics 2012-03-08 Timothy D. Andersen

A Monte Carlo scheme to sample the screening potential H(r) of Yukawa plasmas notably at short distances is presented. This scheme is based on an importance sampling technique. Comparisons with former results for the Coulombic one-component…

Statistical Mechanics · Physics 2009-11-10 J. -M. Caillol , D. Gilles

In a non-ideal classical Coulomb one-component plasma (OCP) all thermodynamic properties are known to depend only on a single parameter -- the coupling parameter $\Gamma$. In contrast, if the pair interaction is screened by background…

Plasma Physics · Physics 2015-03-06 T. Ott , M. Bonitz , L. Stanton , M. S. Murillo

Thermodynamics of weakly screened (near the one-component-plasma limit) Yukawa fluids in two and three dimensions is analyzed in detail. It is shown that the thermal component of the excess internal energy of these fluids, when expressed in…

Plasma Physics · Physics 2015-12-17 Sergey A. Khrapak , Igor L. Semenov , Lenaic Couedel , Hubertus M. Thomas

Classical Molecular Dynamics simulations (MD) for a one-component weakly degenerate plasma are presented. Using an effective quantum pair potential (Kelbg potential), the dynamic structure factor and the dispersion of Langmuir waves are…

Strongly Correlated Electrons · Physics 2015-06-24 V. Golubnychiy , M. Bonitz , D. Kremp , M. Schlanges

Orbital-free molecular dynamics simulations are used to benchmark two popular models for hot dense plasmas: the one component plasma (OCP) and the Yukawa model. A unified concept emerges where an effective OCP (eOCP) is constructed from the…

Plasma Physics · Physics 2020-11-19 Jean Clérouin , Philippe Arnault , Christopher Ticknor , Joel D. Kress , Lee A. Collins

The Bethe-Larkin formula for the fast projectile stopping power is extended to multi-component plasmas. The results are to contribute to the correct interpretation of the experimental data, which could permit to test the existing and future…

Plasma Physics · Physics 2008-12-18 D. Ballester , I. M. Tkachenko

It was suggested in the literature that the self-diffusion coefficient of simple fluids can be approximated as a ratio of the squared thermal velocity of the atoms to the "fluid Einstein frequency," which can thus serve as a rough estimate…

Soft Condensed Matter · Physics 2018-04-10 Sergey Khrapak , Boris Klumov , Lenaic Couedel

Application of the ion sphere model (ISM), well known in the context of the one-component-plasma, to estimate thermodynamic properties of model Yukawa systems is discussed. It is shown that the ISM approximation provides fairly good…

Plasma Physics · Physics 2015-02-16 S. A. Khrapak , A. G. Khrapak , A. V. Ivlev , H. M. Thomas

Observations made in dusty plasma experiments suggest that an ensemble of electrically charged solid particles, confined in an elongated trap, develops structural inhomogeneities. With narrowing the trap the particles tend to form layers…

Plasma Physics · Physics 2021-01-25 Hong Pan , Gabor J. Kalman , Peter Hartmann

A new algorithm to calculate Coulomb wave functions with all of its arguments complex is proposed. For that purpose, standard methods such as continued fractions and power/asymptotic series are combined with direct integrations of the…

Computational Physics · Physics 2009-11-13 N. Michel

The conventional fluid description of multi-component plasma, supplemented by an appropriate equation of state for the macroparticle component, is used to evaluate the longitudinal sound velocity of Yukawa fluids. The obtained results are…

Plasma Physics · Physics 2015-03-24 Sergey Khrapak , Hubertus Thomas

A field theory is presented for particles which interact via Coulomb and hard-core potentials. We apply the method to the one-component plasma (OCP) with hard cores, consisting of identical particles of fixed charge and diameter in a…

Soft Condensed Matter · Physics 2007-05-23 Roland R. Netz , H. Orland

For the two-dimensional one-component Coulomb plasma, we derive an asymptotic expansion of the free energy up to order $N$, the number of particles of the gas, with an effective error bound $N^{1-\kappa}$ for some constant $\kappa > 0$.…

Probability · Mathematics 2020-04-28 Roland Bauerschmidt , Paul Bourgade , Miika Nikula , Horng-Tzer Yau

Results for the dynamic structure factor of a one-component plasma are presented for the situations of strong coupling and weak degeneracy and strong degeneracy and weak coupling. Possibilities to obtain rigorous results when both, coupling…

Statistical Mechanics · Physics 2009-11-07 M. Bonitz , V. Golubnichiy , N. H. Kwong , D. Semkat , D. Kremp , V. S. Filinov , M. Schlanges

The classical two-dimensional one-component plasma is an exactly solvable model, at some special temperature, even when the one-body potential acting on the particles has a quadrupolar term. As a supplement to a recent work of Di Francesco,…

Condensed Matter · Physics 2015-06-25 P. J. Forrester , B. Jancovici

In this paper, we present splitting methods that are based on iterative schemes and applied to plasma simulations. The motivation arose of solving the Coulomb collisions, which are modeled by nonlinear stochastic differential equations. We…

Numerical Analysis · Mathematics 2017-06-22 Juergen Geiser

In this paper we discuss the results of some Molecular Dynamics simulations of a magnetized One Component Plasma, targeted to estimate the diffusion coefficient $D_{\perp}$ in the plane orthogonal to the magnetic field lines. We find that…

Plasma Physics · Physics 2022-10-21 Lorenzo Valvo , Andrea Carati

In a recent Letter, Barnett, Tajima, Nishihara, Ueshima and Furukawa obtained a theoretical expression for the maximum Lyapunov exponent $\lambda_1$ of a dilute gas. They conclude that $\lambda_1$ is proportional to the cube root of the…

Statistical Mechanics · Physics 2009-10-31 A. Torcini , Ch. Dellago , H. A. Posch

The model under consideration is the two-dimensional (2D) one-component plasma of pointlike charged particles in a uniform neutralizing background, interacting through the logarithmic Coulomb interaction. Classical equilibrium statistical…

Statistical Mechanics · Physics 2009-11-10 L. Samaj